%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL260-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:18:54 AM UTC 2026
% Result : Unsatisfiable 280.77s 280.87s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL260-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 4 16:14:23 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.25/0.52 start to proof:theBenchmark
% 280.77/280.86 %-------------------------------------------
% 280.77/280.86 % File :CSE---1.7
% 280.77/280.86 % Problem :theBenchmark
% 280.77/280.86 % Transform :cnf
% 280.77/280.86 % Format :tptp:raw
% 280.77/280.86 % Command :java -jar mcs_scs.jar %d %s
% 280.77/280.86
% 280.77/280.86 % Result :Theorem 280.251436s
% 280.77/280.86 % Output :CNFRefutation 280.251436s
% 280.77/280.86 %-------------------------------------------
% 280.77/280.86 %--------------------------------------------------------------------------
% 280.77/280.86 % File : LCL260-3 : TPTP v9.3.1. Released v2.3.0.
% 280.77/280.86 % Domain : Logic Calculi (Propositional)
% 280.77/280.86 % Problem : Principia Mathematica 2.63
% 280.77/280.86 % Version : [WR27] axioms.
% 280.77/280.86 % English :
% 280.77/280.87
% 280.77/280.87 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 280.77/280.87 % Source : [WR27]
% 280.77/280.87 % Names : Problem 2.63 [WR27]
% 280.77/280.87
% 280.77/280.87 % Status : Unsatisfiable
% 280.77/280.87 % Rating : 0.00 v9.3.0, 0.17 v9.1.0, 0.38 v9.0.0, 0.56 v8.2.0, 0.50 v8.1.0, 0.33 v7.5.0, 0.60 v7.4.0, 0.67 v7.3.0, 0.56 v7.2.0, 0.62 v7.1.0, 0.71 v6.3.0, 0.67 v6.2.0, 0.00 v6.1.0, 0.60 v6.0.0, 0.78 v5.5.0, 0.88 v5.4.0, 0.87 v5.3.0, 0.92 v5.2.0, 0.75 v5.1.0, 0.71 v4.1.0, 0.78 v4.0.1, 0.67 v4.0.0, 0.83 v3.3.0, 0.71 v3.2.0, 0.86 v3.1.0, 0.78 v2.7.0, 0.67 v2.6.0, 0.57 v2.5.0, 0.20 v2.4.0, 0.33 v2.3.0
% 280.77/280.87 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 280.77/280.87 % Number of literals : 12 ( 1 equ; 4 neg)
% 280.77/280.87 % Maximal clause size : 3 ( 1 avg)
% 280.77/280.87 % Maximal term depth : 5 ( 2 avg)
% 280.77/280.87 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 280.77/280.87 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 280.77/280.87 % Number of variables : 16 ( 1 sgn)
% 280.77/280.87 % SPC : CNF_UNS_RFO_SEQ_HRN
% 280.77/280.87
% 280.77/280.87 % Comments :
% 280.77/280.87 %--------------------------------------------------------------------------
% 280.77/280.87 %----Include axioms of propositional logic
% 280.77/280.87 include('Axioms/LCL004-0.ax').
% 280.77/280.87 %--------------------------------------------------------------------------
% 280.77/280.87 cnf(prove_this,negated_conjecture,
% 280.77/280.87 ~ theorem(implies(or(p,q),implies(or(not(p),q),q))) ).
% 280.77/280.87
% 280.77/280.87 %--------------------------------------------------------------------------
% 280.77/280.87 %-------------------------------------------
% 280.77/280.87 % Proof found
% 280.77/280.87 % SZS status Theorem for theBenchmark
% 280.77/280.87 % SZS output start Proof
% 280.77/280.87 %ClaNum:8(EqnAxiom:0)
% 280.77/280.87 %VarNum:28(SingletonVarNum:14)
% 280.77/280.87 %MaxLitNum:3
% 280.77/280.87 %MaxfuncDepth:5
% 280.77/280.87 %SharedTerms:10
% 280.77/280.87 %goalClause: 6
% 280.77/280.87 %singleGoalClaCount:1
% 280.77/280.87 [6]~P2(f2(f1(f2(a3,a4)),f2(f1(f2(f1(a3),a4)),a4)))
% 280.77/280.87 [2]P1(f2(f1(f2(x21,x21)),x21))
% 280.77/280.87 [1]P1(f2(f1(x11),f2(x12,x11)))
% 280.77/280.87 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 280.77/280.87 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 280.77/280.87 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 280.77/280.87 [7]~P1(x71)+P2(x71)
% 280.77/280.87 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 280.77/280.87 %EqnAxiom
% 280.77/280.87
% 280.77/280.87 %-------------------------------------------
% 281.28/281.33 cnf(486697,plain,
% 281.28/281.33 (P2(f2(f1(f2(x4866971,x4866972)),f2(x4866972,x4866971)))),
% 281.28/281.33 inference(scs_inference,[],[3,7])).
% 281.28/281.33 cnf(486699,plain,
% 281.28/281.33 (P2(f2(f1(f2(x4866991,x4866991)),x4866991))),
% 281.28/281.33 inference(scs_inference,[],[2,7])).
% 281.28/281.33 cnf(486701,plain,
% 281.28/281.33 (P2(f2(f1(f2(x4867011,f2(x4867012,x4867013))),f2(x4867012,f2(x4867011,x4867013))))),
% 281.28/281.33 inference(scs_inference,[],[4,7])).
% 281.28/281.33 cnf(486703,plain,
% 281.28/281.33 (P2(f2(f1(f2(f1(x4867031),x4867032)),f2(f1(f2(x4867033,x4867031)),f2(x4867033,x4867032))))),
% 281.28/281.33 inference(scs_inference,[],[5,7])).
% 281.28/281.33 cnf(486869,plain,
% 281.28/281.33 (P2(f2(f1(f2(x4868691,x4868692)),f2(f1(f2(f1(x4868692),x4868693)),f2(x4868691,x4868693))))),
% 281.28/281.33 inference(scs_inference,[],[5,486701,7,8])).
% 281.28/281.33 cnf(486885,plain,
% 281.28/281.34 (P2(f2(f1(f2(x4868851,f2(f1(x4868852),x4868853))),f2(x4868851,f2(f1(f2(x4868854,x4868852)),f2(x4868854,x4868853)))))),
% 281.28/281.34 inference(scs_inference,[],[5,486703,7,8])).
% 281.28/281.34 cnf(486886,plain,
% 281.28/281.34 (P2(f2(f1(f2(f1(x4868861),x4868862)),f2(f1(f2(x4868863,f2(x4868864,x4868861))),f2(x4868863,f2(x4868864,x4868862)))))),
% 281.28/281.34 inference(scs_inference,[],[486703,486885,8])).
% 281.28/281.34 cnf(486892,plain,
% 281.28/281.34 (P2(f2(f1(f2(x4868921,f2(x4868922,x4868923))),f2(x4868921,f2(f1(f2(f1(x4868923),x4868924)),f2(x4868922,x4868924)))))),
% 281.28/281.34 inference(scs_inference,[],[486703,486869,8])).
% 281.28/281.34 cnf(487264,plain,
% 281.28/281.34 (P2(f2(f1(f2(x4872641,f2(x4872642,f2(x4872643,x4872643)))),f2(x4872641,f2(x4872642,x4872643))))),
% 281.28/281.34 inference(scs_inference,[],[486886,486699,8])).
% 281.28/281.34 cnf(489513,plain,
% 281.28/281.34 (~P2(f2(f1(f2(a3,a4)),f2(f1(f2(f1(a3),a4)),f2(a4,a4))))),
% 281.28/281.34 inference(scs_inference,[],[6,487264,7,8])).
% 281.28/281.34 cnf(491618,plain,
% 281.28/281.34 ($false),
% 281.28/281.34 inference(scs_inference,[],[486697,6,486892,489513,7,8]),
% 281.28/281.34 ['proof']).
% 281.48/281.51 % SZS output end Proof
% 281.48/281.51 % Total time :280.251436s
%------------------------------------------------------------------------------